Question

How high must a 19.0kg object be to have 915.J of gravitational potential energy?170.m729m0.203m4.91m

Answer 1

The gravitational potential energy is given by:

$U=mgh$

where m is the mass of the object, g is the gravitational acceleration (which is 9.8 meters per second per second) and h is the height.

In this case, we know that:

• The potential energy is 915 J

,

• The mass is 19 kg

Plugging these values and solving for h we have:

$\begin{gathered} 915=(19)(9.8)h \\ h=\frac{915}{(19)(9.8)} \\ h=4.91 \end{gathered}$

Therefore, the height of the object has to be 4.91 m